
where \(\Phi \)  is the SM Higgs isospin doublet field, \(\xi =1/(4\pi )^2\) , \(\kappa _0\)  is a real dimensionless parameter, and \(\mu ^2\)  is a real massive parameter.
The BSM effect to the Higgs potential is described by a Coleman-Weinberg form [1]}.
The \(\mathcal {M}^2(\Phi )\)  in this equation is an arbitrary function of \(|\Phi |^2\) , which is assumed to take the following form
\(\mathcal {M}^2(\Phi )\,=\,M^2 + \kappa _{\rm {p}}\, |\Phi |^2,\) 
